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Resolutions over Koszul algebras |
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| Authors: | Edward L. Green Gregory Hartman Eduardo N. Marcos Øyvind Solberg |
| Affiliation: | (1) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, USA;(2) Department of Mathematics, The University of Arizona, P.O. Box 210089, Tucson, AZ 85721-0089, USA;(3) Instituto de Matemática e Estatística, Universidade São Paulo Cidade Universitária, CEP 05508-090 São Paulo, Brazil;(4) Institutt for matematiske fag, NTNU, N-7491 Trondheim, Norway |
| Abstract: | In this paper we show that if is a Koszul algebra with Λ0 isomorphic to a product of copies of a field, then the minimal projective resolution of Λ0 as a right Λ-module provides all the information necessary to construct both a minimal projective resolution of Λ0 as a left Λ-module and a minimal projective resolution of Λ as a right module over the enveloping algebra of Λ. The main tool for this is showing that there is a comultiplicative structure on a minimal projective resolution of Λ0 as a right Λ-module.Received: 14 September 2004 |
| Keywords: | 16S37 16E05 16W50 |
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